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Problems of the theory of elasticity in stresses

Akrom AkhmedovNational University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanNurbek KholmanovNational University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan

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Unfortunately, the classical formulation of the problem of the theory of elasticity in stresses consists in solving three equilibrium equations when three static boundary conditions are meet. In this paper, based on the correct formulation of the stress problem for six Beltrami-Mitchell equations when three boundary-line equilibrium equations and three static boundary conditions are satisfied, solutions of stress problems in an approximate analytical form are obtaining. The limiting cases of a parallelepiped in the form of a rod and a plate are considered.

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